Suppose
for constants A and a.
(a) Determine A, by normalizing .
(b) Find , , and σx (at time t = 0)
(c) Find the moment space wave function Φ(p, 0), and check that it is normalized.
(d) Use Φ(p, 0) to calculate , , and σp (at time t = 0)
(e) Check the Heisenberg uncertainty principle for this state.
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